Pith Number

pith:EVBFPVUD

pith:2009:EVBFPVUDOBJSF4XG2CGKNRRQHN

not attested not anchored not stored refs pending

Multivariable polynomial injections on rational numbers

Bjorn Poonen

arxiv:0902.3961 v2 · 2009-02-23 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVBFPVUDOBJSF4XG2CGKNRRQHN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:47:34.224534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

254257d683705322f2e6d08ca6c6303b65ce3d6ac24eb0ae17a9724c5154b9d8

Aliases

arxiv: 0902.3961 · arxiv_version: 0902.3961v2 · doi: 10.48550/arxiv.0902.3961 · pith_short_12: EVBFPVUDOBJS · pith_short_16: EVBFPVUDOBJSF4XG · pith_short_8: EVBFPVUD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EVBFPVUDOBJSF4XG2CGKNRRQHN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 254257d683705322f2e6d08ca6c6303b65ce3d6ac24eb0ae17a9724c5154b9d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8734e508099b1f06489a305ecca4da12cb06a3b4b31e7ead7e9500356e6145a3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-23T17:40:46Z",
    "title_canon_sha256": "f003017d9e03697ab774f1e22fb3c8575e9de86c428540bc38c706a8e86a8d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3961",
    "kind": "arxiv",
    "version": 2
  }
}